Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces

Ma, Shouhei

doi:10.1090/S1056-3911-2014-00622-6

Rationality of the moduli spaces of 2-elementary $K3$ surfaces

Author: Shouhei Ma
Journal: J. Algebraic Geom. 24 (2015), 81-158
DOI: https://doi.org/10.1090/S1056-3911-2014-00622-6
Published electronically: March 5, 2014
MathSciNet review: 3275655
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Abstract | References | Additional Information

Abstract: $K3$ surfaces with non-symplectic involution are classified by open sets of seventy-five arithmetic quotients of type IV. We prove that those moduli spaces are rational except two classical cases.

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Additional Information

Shouhei Ma
Affiliation: Graduate School of Mathematical Sciences, the University of Tokyo, Tokyo 153-8914, Japan
Address at time of publication: Graduate School of Mathematics, Nagoya University, Nagoya 464-8604, Japan
Email: ma@math.nagoya-u.ac.jp

Received by editor(s): November 9, 2011
Received by editor(s) in revised form: February 27, 2012, and July 31, 2012
Published electronically: March 5, 2014
Additional Notes: Supported by Grant-in-Aid for JSPS Fellows [21-978] and Grant-in-Aid for Scientific Research (S), No. 22224001.
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